Orange Micro Terror maybe? It's often overlooked since a lot of people think it's just a novelty piece of gear, but it's actually a very nice amp. Depending on what cab you buy it can get super loud for a 20W amp, the only other amp in that wattage range that can get louder is the Vox AC15 which is $1000 AUD.
He's just using the middle pickup (looking at the guitar it seems to be just a typical single coil pickup) on the clean channel of the amp. As it is typical for indie music, it's drowning in reverb with tons of delay. He is also using some kind of tremolo effect, but I'm not sure which kind. Could be a spinning speaker effect, but I'm not sure. I'd much rather know what's going on with the guy's hair.
At my university (in Germany) the final exam is usually 100% of the grade, most of the time it's a 2 hour written exam. If there are labs for that course, you also have to complete all of them and submit all lab reports to be able to take the exam. Some professors also make the lab reports part of the grade, but that's not the norm by any means. As far as exam aids go, in most classes we are allowed to use anything (anything that can't communicate with other devices wirelessly), some professors don't allow books, and the 1st year chemistry prof didn't allow anything at all.
For modern pop music, I think the standard Strat single coils are the best. Some people like the vintage noiseless, but I'm not a fan of those (I like the sound of the standard single coils more and since I live in a country with 50Hz AC the main benefit of noiseless pickups is gone). The 60s pickups are also very nice for soul music, but the texas specials are more intended for bluesy rock sounds, not so much for pop or soul.
50 cycle hum is still a thing, though.
I've never noticed any. I have single coil pickups on my guitar (which are definetly not noiseless pickups, those weren't invented yet) and even with the guitar at full volume and the volume and gain of the amp cranked all the way, the only hissing sound comes from the amp and stays even with the volume turned off on the guitar.
Don't use the truss rod to lower the action. If the neck is straight , leave the truss rod as it is. It's only supposed to keep the neck straight, not to lower the action. Adjusting the action should always be done on the saddle (or the nut if the action on the lower frets is also pretty high). Just be careful, if you file away too much you'll have to buy a new saddle. It's better to make some measurements and file then, don't just eyeball it. Measure the action at the 12th fret first, see how much you want to lower it and then file away twice as much on the saddle (think of it as a usecase of the Pythagorean theorem).
Let's say your action on the 12th fret is 3mm but you want it to be 2mm. The difference between 3mm and 2mm is 1mm, so you have to file away 2mm from the saddle to lower the action by 1mm. This is all assuming the neck is totally straight, so check that first.
I'd spend more on the amp, a great guitar sounds bad through a bad amp, but with a good amp even a bad guitar can sound good.
From a £1400 bugdet I'd spend 900 on the amp and 500 on the guitar. You can get a Vox AC30 and a MIM Strat for that money, which are both excellent pieces of gear and go really well together.
How do you play chords with this tuning?
You don't. That's the only reason why a guitar isn't tuned in all 4th usually, it's pretty much impossible to play chords without having Marfan's syndrome or something. There's this handy diagram that shows some of the most common chord shapes in all 4ths tuning: http://sethares.engr.wisc.edu/tet19/allfourthschords.gif As you can see, you have to stretch your fingers across 4 frets for a basic major chord, which is not ideal by any means.
As for the string tension, this shouldn't really be an issue, all you are doing is tuning the 2 highest strings up a semitone. A floating trem will need to be adjusted, but if you have a hardtail or a decked trem you are all good.
They are both amazing amps, you can't really go wrong with either. I personally like the AC15 more, the shrill distortion really speaks to me. Remember that it's a super loud amp, if you only play at home see if you can get the AC15 head + cab and an attenuator since it doesn't have a wattage switch.
You don't really have to use a pick on guitar, if you play fingerstyle bass a lot then getting the hang of fingerstyle guitar shouldn't be too much of an issue. There are a lot of guitarists who play fingerstyle even on electric (think Chet Atkins, Jeff Beck, Mark Knopfler).
The AC15 is an amazing amp, can't really get anything better for the price. It's super loud though, if you want to get some distortion from the amp (which I'd always prefer over pedals) you'd have to get it to ear shattering volume, way too loud for home use. A lot of people tend to underestimate how loud it is since it's only a 15W amp. If you wanted, you could even play small venues without micing the amp. If you only want to play at home, either get the AC10 or the AC15 head and an attenuator.