Fuel Seems to cut out?? & a lights question

[Chapstick]

Cars acting a little wierd? not sure if the fuel is literally cutting out but seems like it.
driving on the highway, seems if i stay a constant speed some times, it feels like i take my foot off the accelerator?(without doing that ofcourse) and itll cut out the accelerator, and then all of a sudden like Vrooom kick back acceleration to catch up to the 200-500rpm that it just dropped. it will randomly kick back in even if i try and accelerate again it takes it own time. itll do this for a fraction of a second at a time.

other problem is my headlights!, i turn the switch, and they will open, but sometimes not turn on? or when i turn the switch it just makes an awful buzz sound and wont stop till returned too the off position.

gahhh