Seattle in Jan? Should I just do it?

To keep it kinda short:

The hotel I stayed at last time AND a nonstop flight will both be around $560 for everything.

Very cheap. I would only go for a weekend. But how has weather traditionally been at the end of Jan? I know it’s “winter rainy season” traditionally but is that still true? And any low cost (<$30 a ticket) or free things to do in late Jan?

Edit:

Thank you everyone for your suggestions and just general guidance in terms of the weather.

Should have have added that:

  1. I don’t have a car and I would want to avoid uber as much as possible (it can get expensive) so prettt much limited to the Seattle metro area.

  2. I have been to bainbridge! It’s cute!

  3. Museums would be cool but I also want to visit neighborhoods. I have heard great things about green lake, west Seattle/alki beach, and yes, I want to visit Bellevue.

If I do go, it would be my third time in the Seattle area. I truly do see myself moving to Seattle.