Some of the cramping is also your uterus that is expanding...feels like.period pains
It's normal to cramp but not severely and not with any sort of discolored discharge or bleeding. Otherwise cramping is usually a good indicator baby is growing!
Most of the time yes it's normal, also to spot a lil. With my first I didn't know I was pregnant until 8 weeks I thought I was cramping and fixing to get my period. With this pregnancy I found out at 4 weeks lol once I had implantation bleeding I knew instantly.