OK - now I think y'all are on the same page. Koda is correct - if the "battery indicator" bulb is burned out, the alternator will not charge the battery. The "illumination" bulbs being out will not have any impact on the alternator operation.
You can run a surprising distance/time on the battery alone - especially this time of year when it's light longer and you don't use headlights as much - but it will catch up to you eventually IF the alternator is not charging. So it is a good idea to get the voltmeter and verify charging - with the engine running you should get about 14.4 volts across the battery teminals.
I think you can get the cluster out far enough to change the bulbs without unplugging all of the connectors. If I remember correctly, I had to unplug the connector closest to the middle of the car; then I was able to rotate the cluster far enough to get at the bulb holders. According to my notes, the illumination bulbs are #194 and there are 6 of them; those holders are bigger than the various indicator bulbs, which are #74 bulbs. While you have the cluster out, replace ALL the illumination bulbs, plus any indicator bulbs that might be burnt out. I needed to use some small pliers to break loose each bulb holder the first time; I was able to reinstall them w/o the pliers. Good luck.