Hi, jhonny, everyone is different in early sobriety. If you need to be on your own, then certainly do that. I found that I enjoyed doing things I couldn't while I was drinking, like going out to shops at night and buying myself something, or going to photograph the moon or even to the movies- I knew I would get home safe and sober and it was truly liberating.
Early sobriety is challenging so don't forget to appreciate the good parts- especially the freedom from being a slave to alcohol.
Gradually, you will be able to go out and be social, but make sure you have a plan- plan exactly what kind of beverage you will have, what time you will leave and always feel free to skip any situation that you don't feel ready for.