if i were you, i would
1. call my doctor straightaway
2. yes, rest. stay in bed. feet up, no lifting, lay down as much as possible, and drink lots of water.
personally i dont care how "normal" people say bleeding is in early pregnancy, i would call my dr.
keep in mind, these boards are great but noone is an MD, and only he can safely guide you for sure.
g/l and keep us posted