Only scam sites advertise LIFETIME Membership. LW official site does not. Look at the whole site, nowhere does it advertise lifetime or free music & video downloads. There's many things scam sites do. One is they take your money, then link you to the basic LW download page. Some scam sites host their own copy of LW, sometimes with spyware, etc. added.
Check your old computer, I am sure you will find it says LW Basic & not pro.

Regardless, 2 years ago LW only offered support & updates for Pro users for a 6 month period. During last month of your support they offer a discount to continue with support. Once the 6 month period finishes your name automatically drops off their systems. Now (very recently) they offer a choice between an extended 12 month period of support or the usual 6 month period.