You did good on your purchase, especialy the Hawken.

I don't care for pellets personaly, I'd go with loose powder but that is just me. As long as the #11 caps are lighting the fire I'd stay with them, RWS is what I use, they are very hot. Cleaning will be dictated by how hard the gun gets to load after shooting, if it loads easy just keep shooting. I shoot conicals in my guns with 777 powder, it is very clean burning and the powder you are using is clean too. Not unusual for me to shot all day without cleaning. As long as it loads well I wouldn't bother with the cleaning, unless you get better accuracy cleaning more often.