Nah, 70's wiring is totally fine. In fact wiring codes haven't changed much since then.
60's had a little bout of aluminum wiring that was disastrous., 50's and 40's... well there were fuses rather than breakers... and 30's and older was knob-and-tube, which is shit I have dealt with in the past. Ugh.
Oh and no asbestos. My dad's house from 1954 has asbestos siding, but it can't hurt you unless you break it up and breathe in the dust.