Can I travel to USA on H4 with a valid H1 visa?

Hi,

I came to USA on H4 stamped on my passport but it got expired. Now I have H1 approved upto sep-2019 but I dont have a project nor paystubs. My wife is on H1 with validity until June-2018: a) so can I travel to India and back come to USA on H4 visa and will I able to work if I get a project after coming back ?