What does instagram have to do with Uni application? If you just use it as an easy to use online portfolio, there are better, free options. Google ‘free online portfolio builder.for photography’ etc. This way you can show off your photos big and less compressed.
IG can normally only be viewed on a phone and thats not ideal for showing off your photography to the university, they are much more likely using a laptop to access your links rather than a phone.
From my personal experience all the successful and efficient family photo sessions that involve toddlers, were never conducted by a photographer alone. There were always an assistant of some sorts who actively get the kids’ attention, cause them to smile or laugh, and potentially stop your Christmas tree being knocked down.