Follow-up question: Is this swelling and lots of sensation normal for my third microneedling treatment? (Photos)

you should be on the proper post care and it doesnt seem like you are especially for your sensitive skintype. I suggest free skincare consult with emeragecosmetics.com ... products like anteage md, emk recover serum, jan marini skinzyme and cleanzyme, heliocare and phyto plus and b5 should be used now!  see link.
Burns need a combination of:
1) healing lasers and light such as aerolase or laser genesis and LED therapy with light stim
2) topical growth factors, stem cells, antioxidants
3) oxygen facials
4) platelet rich plasma and A cell topically
5) sun protection
6) vascular lasers for redness such as venus versa IPL, excel V KTP, and pulsed dye laser/VBeam
After 6-12 weeks you can treat for hyperpigmentation with cosmelan peels, hydroquinone, retinol or non ablative lasers like clear and brilliant or radiofrequency like venus viva.
Please see a laser, scarring and burn expert.

Hello, the products you use after microneedling are essential for proper healing.  We always recommend our patients use the Anteage stem cell serum post procedure.  It will help reduce the redness and swelling as well as accelerate your results.  You will likely experience some peeling (which is normal post microneedling but you should heal just fine.  Make sure you are keeping your skin moisturized.  Good luck!