Here’s what consumers have asked with answers from SteamPowered staff and previous consumers.
There's a higher volume of users that want help from Steam Support, however, they'll often try to answer most of the questions that is coming in a daily basis. Steam doesn't have enough staff members to check on the endless questions coming in so you question is most likely on queue. For the other question are you using the same account from the old PC? Please use the same account onto your new PC. Normally CDKeys will follow the original account it was placed in.
I haven't saw a video game that requires ongoing payments. Most video games I have purchase are all one time payment. However, there is a steam sale going on right now. Remember the games are only linked to one account so you can't transfer to another account.