everything but the ec86 is interchangeable, which if I recall is a single high mu small signal triode whereas the others are dual triodes with hum cancelling and shared heaters, yada yada, you probably don't care....
the 83s/ax7s have a gain in voltage of 100, the 82s/au7s have a really low gain and a very linear reponse to boot that is generally not great for guitar amps unless its in a cathodyne phase inverter or an amp that needs expanded headroom because it has a lot of potential gain on the clean channel like a vox... and the AT7/81? that has a gain of 70 to 80, but unlike the similar 12AY7 and the lower gain AX7 variants Leo Fender was so fond of that perform identically to an AX7/83 apart from the lowered gain in voltage, the AT7/81 also has a very low output impedance into the next stage so for any stage that doesn't directly preceed a cathode follower (an impedance lowering tube stage generally used to feed tone sections to minimize loss of gain in treble due to the loading of the tone stack on a high impedance preamp signal like in tweed fenders and marshalls) you will get a change in the frequency response and slew rate as you start to enter distortion territory changing from an ax7 to an at7.... fender and hiwatt also favored them as long-tailed pair phase inverters and any amp with a long-tailed pair (most modern push-pull designs including the AD15) can swap between these 2 tubes in the phase inverter slot for a change in output stage response
in 12ax7/ecc83 types the Dario's aren't bad while mazdas and brimars are great, like almost 50s Mullard great... I quite like Mullard's ecc81s and notoriously swap them for V1 in amps that I think have a little too much preamp gain and upper midrange fizz but I've never used the Dario version... you au7 is worth a try in ANY position in your amp, but it probably won't pelase you, its more of a hifi triode which is why its rare to see it specified for gain applications in guitar designs, they are mainly used in non-gain producing phase inverter types and as trem/vibrato oscillators
I always have some brimar, mazda and Mullard 83s and 81s (especially the military grade ones with the CV designation, wow are they good) around because I am quite fond of them in V1 of vox/marshall/orange type circuits followed by a current production tung sol 12ax7 in V2... I also have some backup mazda and Dario ef86 pentodes in case the Mullard ef86 in the matchless goes bad on the job
my other favorite 12ax7 types are GE grey plates, ANY RCA ax7 (their at7 is best left to phase inverter duties) and the mighty amperex bugle boys that were made in holland which are becoming so hard to come by
in your amp the most suitable position to experiment with tube type substitutions is V1
so to sum up:
don't use the ec86 because it will likely fry something in your amp, but DO mix and match any other tubes from your collection in any slot. As a rule of thumb the ecc82 is probably not suited to your amp since the AD15 isn't a gain monster that can benefit from a couple stages with less gain and more dynamics... although putting it in the phase inverter position which is probably V2 in your amp may yield a more dynamic, clean and 'hiwatt' like power amp feel with reduced volume and no distortion in the first 2/3rd of the master volume, but you may find it to be anemic at anything less than ear-splitting levels
dedicate some serious time to auditioning tubes at various volume and tone settings with all your guitars and effects and make notes, then go back a few days later and do it again.... if your notes on what sounds good where are the same both times you have a winning peamp tube compliment
also, make sure to listen for microphonic rings and squeals at volume, the euro tubes were more prone to this than USA tubes were... microphonic tubes ALWAYS get worse with time, so you should discard any tubes with audible ringing... if you're unsure what noises are coming from the tube versus your signal chain then unplug everything, crank the amp and tap the tubes very gently with a rubber eraser. You should hear a thud, but it shouldn't sustain r become a ringing sound or feedback.