Now that I submitted an offer, should I keep looking?

In a buyer's market, YES, YES and YES.

Trudging around to house after house to see if it is where you want to hang your hat isn't always the way you want to spend your Saturday.  What you do want to keep open are your options for the possibility that your offer isn't accepted.  The good news is that your Realtor is more familiar with what you want in a home, so they can weed out those that don't meet your criteria.  Make sure that you are open and honest in determining what you like and don't like about the homes you visit and things will get better as you move through the buying process.