Aerospace Engineering Eligibility

Yes, You can do MS in Aerospace Engineering in US as it is an inter-disciplinary programme for both electrical and mechanical students. And, further you should be aware of the concerned university's eligibility criteria as it lists out the eligible bachelor disciplines based the courses it plans to offer in MS. My another suggestion is that, you can take up Avionics as it is a pure electrical discipline than a mechanical one.

The better way to know about the college fee structure and placements, is contact with college. The GATE score cut off vary for admission in said discipline.
Criteria is you should have a valid GATE score card for admission.