I could have been you. Heck, I was you.
Planned section. Back to having sex at day 10,(14 for my second ), cleared by midwife first and following NHS advice that you don't have to wait for 6 weeks, and it's safe to have sex when you felt ready. Frankly I was ready on day 5 but I wanted to check with the midwives first. Lochia had long gone by day 10 or I'd have waited. Recovery was pretty much painless for me though.
At about 2-3 weeks in I suggested that we start TTC at the 3 months mark. Husband wanted to wait a bit so we did. I absolutely loved having a newborn, found it much easier than I expected, and knew that I'd likely suffer badly with SPD from the first trimester, so I wanted to be pregnant before I'd have to chase a baby when I couldn't walk!
By six months postpartum, aside from the SPD issue, I was glad we waited. Both of my children have never been easier than in their first few months. It was later that their sleep declined, sleep deprivation properly hit, and toddlers although lovely were so much harder work.
I got pregnant after a year so I've had 2u2, but not a tiny gap.
Medical stuff aside, thinking about trying to conceive a second when you're in the newborn period is like signing up to another marathon when you've only done 100m run.
Give it some time. You'll also find those happy hormones will calm down a little bit, and that you think of the bigger picture, rather than a cuddly newborn potato stage