My 5 minute take on this scenario. Probably could think of a lot more if time permitted.

Fishing rod
Aside from the obvious use for the rod. The fishing rod provides a means of catching fish 24/7. Depending on the locale, there are not too many islands where there are not some species of fish to be had. Remove one of the rod eyelets and it can be improvised into a fishing hook with very little effort. Just ensure that the hook is crafted into a circle hook style in order to better the odds of the fish staying on the hook. Also, most fishing reels - depending on fishing line size (normally rated as test), can hold anywhere from 150 yards or more of line. Keep about 100 yards of line on the reel and use the rest for a multitude of survival uses.

Tent
Much better and versatile option then the tarp.
Keeps the mosquitoes and bugs at bay when sleeping at night and also offers shelter from any wind.

Cut the tent floor out. During the day, use as a tarp, rain collector funnel etc. At night, put back inside tent and use as a ground sheet.

Bonus points if the tent has a fly. It can used to make an improvised carry bag, poncho etc.

As for the tent poles. I would remove the poles and replace with thin, flexible tree branches instead. Hint, I know this would work. Years ago on a hiking trip, we somehow forgot a tent pole that had been removed from the tent bag in order to have the cord replaced. 10 minutes work with a knife on a suitable tree branch, we had a workable replacement. It would not take much more effort to make 3 similar for the tent depicted in the image. With a bit more work and using some of the removed shock cord or fishing line, getting the tent to stand not be difficult. The tent pole sections and shock cord can now be used for a number of purposes. In particular, the aluminum ferrules on a tent pole section can be squeezed down then sharpened on a smooth rock to make a spear point of sorts. Lash the tent pole to a suitable and straight tree branch, you have a makeshift spear for any small animals or even to spear a fish.

If the tent did not have a fly, it would be easy to cover the tent in leafy vegetation in order to help shed rain.

Knife
Debated about the knife or the hand saw. Both can be brilliantly used in any survival situation but the edge (no pun intended) goes to the knife.

Pot
Too many good uses not to include. Cooking vessel, water collector. Depending on locale temperatures and assuming you have fire, at night the pot can be filled with small rocks then heated on the fire until hot before bedtime. Bring the now heated pot (with the rocks still in it) into your tent to use to keep the chill off. You would be surprised how effective the pot will radiate warmth in the tent.