OK, you are likely getting frustrated and PO'ed at your chains, back up and relax for a few minutes.
I'me going to post 4 pics of two different tire chain fasteners I believe 3 and 4 will be similar to what you have.
chain hook 1
chain hook 2
chain hook 3
chain hook 4
I believe pics 3 and 4 are similar to the style hook you have, the difference is yours is just round rod stock and mine are flat bar stock.
They will function the same.
Pass the end through a side link and "cam" "rotate" it back on it's self and hook it back in the side chain,
it can hook in the link or even push it past and then let it come back to rest on the top of the side chain link.
Your chains need to be installed and mounted squarely on the tire,
by that I mean the same number of side chain links on each side of the set of chain, inside and outside.
Normally the simple hook you show in your picture is to the inside of the tire,
that will give you more room to fasten and latch the long hook on the outside of the tire.
Usually chains are made square so just count the number of side links from the last cross chain to keep your ends equal.
Chains that are not installed square will walk off of the tires, usually to the short side.
Bungees are a bandaid they are not needed with chains the right width and installed squarely.
They usually do not hurt and many people use them I used to but haven't in several years.
added; you can PM me or call, I'll PM you my number