Ought to work well with what you've got. Singelcoils usually get a 250K pot but a regular Tele neck pickup should be just fine with 500K (assuming that's what you've got, fairy standard for an HH guitar). It's the Tele bridges that sometimes sound icepicky with a 500K volume pot.
Tone caps are very much a matter of personal taste - I'd try what's in there now and see how it does for you. Might work great.
And if it doesn't, you can always change it later.
PS: Tele neck pickups normally have a shiny cover, but they're very different from lipstick tube pickups.