There is no such thing as a perfect 62xx Daytona case. Unless someone has a set of good, clear macro pics of a newly manufactured gen (fyi - 62xx Daytonas have not been made since the 80s), we are left to copy these watches as they look today. Since most have been polished to varying degrees by people with variable abilities & purposes, I think you have alot of latitude to play with.
It depends on the country. In most western countries, it is illegal to engage in the sale or transport (for the purpose of sale) of fraudulently trademarked goods. However, it is generally not illegal to possess fraudulently trademarked goods.
True, but remember that until Eric Clapton sold-off the bulk of his Rolex collection, models such as the Yacht-Master Daytona, like the albino '42, previously thought to be nothing more than legends, were proven authentic. Additionally & more importantly, if Stefano Mazzariol is convinced Rolex made an albino 6542, then so am I.
Without knowing who serviced it last or whether they used the correct type/amount of oil I can only tell you that when in doubt, do not do anything. That is, leave the oil where it is & reinstall the stem as-is. To answer your next question (now that I removed the oil, do I need to get it serviced) - no.
If it consistently resets at the same wrong position, you will need to remove & reinstall the hand. If it resets at different places, then the hand wand is likely loose on its tube. You need to tighten (with a staking set) or epoxy the joint together
There are MANY threads discussing this issue that you should search out.
The dial itself looks like it may be genuine, but the red lettering is aftermarket or, at least, was applied (&/or overpainted red) some time after the dial left the factory & by someone other than Rolex. The lume may be of similar lineage. Value? Assuming the dial is genuine, a bit less than a standard dial. If the dial is aftermarket, a bit less than its original price.
As I have described in previous threads, the pushers I have received from Ofrei were exactly the same as my gen Rolex pushers (received from a Rolex watchmaker with a parts account). Remember, there are (at least) 3 different styles of screw pushers that Rolex used on Daytonas over the years & Ofrei only sells the latest/current style, which may account for the differences some have reported.