email account hacked, and receiving spam

i use microsoft outlook for my email accounts
i have two email accounts. to simplify things, we will name them 1 and 2. account 1 gets forwarded to 2.
recently, i started getting advertisements at account 1, weight loss, etc... i checked account 2, which is a gmail account, and none of these emails are forwarded to there, not even in the spam folder.
i therefore thought maybe, my account on my computer was hacked, and somewhere on the computer they are sending these spams, i therefore deleted the account (1), searched all leftovers from that account, and deleted them, and then started the same account in outlook from scratch.
and again, all the above didn't help, i still receive the above spam.
none of my friends reported receiving from my account spam.

let me point put, even though i have many email accounts in outlook, the above is the only one i receive spam, but it was my default email account.
i am not sure if the computer was compromised, or the account.

the question being, is there a way to get rid of these advertisements, and do i have to worry that something else on my computer got compromised.

thanks in advanced.

If your account was sending spam that would be a sign it was hacked.

As mentioned above though, receiving spam is just an annoyance and a sign that someone got your email address and it ended up in the wild.