need help, 2 cars = two issues

99 Suburban - wouldn't start I could hear the current go through to the starter and then click. But no turn over. I replaced the starter. It started up three times without problems. The next day the issue returned. What do I need to check next?

91 Honda Civic - replaced a seized alternator and the battery. While driving around the battery light came on again. The belt is on and is spinning. There are no noises indicating a loose belt. Where do I go from here.

Any help would appreciated. Thanks

neal

is it the exact same problem, you get current to the starter solinoid and you hear that click, or did the starter just stop reciving current?
How long were yoiu driving with the new battery and alternatior before the light came on? If you bought a new battery it should take around 20-30 minutes( idle time) to develope a full charge