Coming from experience having completed a bachelors degree in bio-veterianry science last year and taking a gap year to work in the industry itself. The general consensus I have learnt is quality over quantity is much more desired.
As you already have a good variation (especially a neuroscience placement. Not many applicants would have something like this before applying) and are completing MOOCs, I would say you have a fair chance.
I would suggest gaining some dairy experience as a lot of vet schools require this to be done to some capacity, especially as some universities (aka Nottingham or Bristol) hold a big precedent on livestock in particular. However, this can be done after the deadline, where you explain interests and placements arranged in the future. This shows a level of dedication that is required for vet med.
Don't worry about what other people have as I have known some individuals with first class degrees with tons of experience not even get one interview, whereas those who had the minimum requirements and got multiple.
Regarding a gap year itself. If done well, it can be very very useful for an application as it shows a level of dedication to the field. However, it is not necessary at all. You can tailor it to your interest. For instance, I made sure to get emergency out of hours experience as I am fond of ambulatory medicine and the unprecedented amount of cases.
Any questions regarding what to do and what to organise I am more than happy to show you my schedule for my year.