Ta make it short... forget it!
There are many issues. Quartz movemets have the hands so close to each other that they will stick in each other. You can file down the excess paint -> to much risk to damage the hand finish.
No need to remove the crystal, majority of watches are disassembled through the case back If You make a watch disassembly for the first time there is a great chance to make damage to everything
Dont do it on a TAG for the first time!
Dont do relume for the first time on a dial like this one! This is painted with a pad printer, a hand painting will be a great mess -> look at HMT watches, they are hand painted. Try practicing first with hollow indices (like on Rolex watches) which can be filled up with the lume paint and if it does not look well then just wash it out and try again.
If You still intend to do it, then practice first on a cheap watch!
Any lume paint set for watches will do.
Yes, You have to remove the hands. There are many videos on Youtube how to do it, look for Mark's video! It is simple after some practice. Oh, You have painted hands! This means removing the old paint will be a big headache. Dissolving them will also remove the black paint from the hands. Scrubbing them will also damage the black finish. So, forget it!
You can scratch out the paint from the open part and dont leave the paint on the edges, on the metal. It is hard to make it well.
What is the problem with the old lume? Ah i see, it is (was) tritium which is not glowing well after a decade.
You will need oilers to apply the paint. Or thin wire with hammered end will do. 0.2 mm thick maybe. You will need at least a 10x loupe and some practice to work with it.
So, forget it!