Bake them in middle of your oven at 500 degrees for (up to) 20 minutes. Keep an eye on the oven & remove the hands the second they reach the desired color (the line separating beautiful & burned is very thin). For a darker color, apply a bit of iodine to the backside of the lume before baking. This is art, not science.
TT is not my thing, but this 1 looks good to me. That said, always buy the seller 1st (check out references & previous Rolex sales history to reduce the likelihood of being taken by a pretty face).
5512 = Chronometer spec Submariner - usually (but not always) has 4 lines of text in the bottom half of the dial
5513 = Non-chronometer spec Submariner - has 2 lines of text in the bottom half of the dial
5514 = 5513 made specifically for Comex - often (but not always) contains a Comex signature in the bottom half of the dial & (usually) a Helium exhaust valve in the side @ 9 o'clock
(This is a gen-powered franken that I constructed a couple of years ago - it is not available from any rep seller)
It sounds like the movement is out of beat (the hairspring/collet is misadjusted/off-center, causing the balance to require more force to start it moving). Your watch requires servicing.
Looks good, but I would have the dial relumed so the lume does not reflect light (some 50s Rolex dials did have a glossy finish, but the radium or tritium, which was applied after/on top of the dial finish, should not)
I am unclear as to what you mean by '45-60 minutes before it decides its ready to go'? Do you mean the watch sits motionless for about an hour after you manually wind it several times, or do you mean it runs slow/fast for an hour before keeping proper time?
In either case, a properly serviced watch should run fine from the start. If not, it requires (proper) servicing.
Other than the prescribed end links that come permanently fitted to 7205 bracelets, I have used 357s on my 7835 folded link bracelets for 62xx Daytonas. That said, I believe, like the 357s, they will fit (loosely) if you can get them fitted to your bracelet. What end links are on the bracelet now?