Welcome back Jacob - is this wee boat going to be a tender for the boat you were thinking about here?
Building cheapest robust safe ocean crossing capable boat - ideas https://www.boatdesign.net/threads/building-cheapest-robust-safe-ocean-crossing-capable-boat-ideas.61754/
Re your photos above, she looks like a very fine wee boat - you will probably find her rather tippy when you get in, but when she heels a bit her stability should improve a bit (partially due to the flared topsides).
But note what Messabout says re how increased beam and less flare would have been better for stability.
Re putting a keel on her - you already have a solution (the boat), and to start thinking about long keels will give you a proverbial solution looking for a problem.
Keep it as simple as possible, following the same ethos of what you have done so far.
I would be inclined to just put a leeboard on her - some boats have a board each side, but you could have just one, that can be 'tacked' when you change direction.
But hang on, you have flared topsides, which means the lee board would not be vertical - that does not really matter.
Try a single leeboard on both sides - it might work better on the windward side, where the board is more vertical when you are heeled. Be aware though that you don't want her to heel very much.
Here are some ideas -
Types of Daggerboard leeboard centerboard etc https://www.pdracer.com/keel/
These Sabot dinghies have leeboards - Gresham Marine also make rudders for them.
Naples Sabot Leeboard - Gresham Marine - Racing Sabot Leeboard https://www.greshammarine.com/shop/blades/naples-sabot-leeboard/
Lots of info out there - try typing 'sailing dinghy with leeboard' into Google, and see what comes up.
An edit - ideally it would be nice if you could have some positive floatation in case you get swamped - but the boat is already so small, there won't be much room for you to sail her if you start fitting buoyancy compartments.
The logical way to start would be one in the bow and one in the stern. Alternatively, you could fit buoyancy bags on the gunwhales (a bit like training wheels on a bike - they would improve stability as well) similar to what Richard Woods did on his 10' Duo design -
Sailing Catamarans - Duo 10ft Sail/Row Dinghy (nesting option) http://www.sailingcatamarans.com/index.php/designs/1-beach-cats-and-dinghies-/420-duo-10ft-sailrow-dinghy
Although they would rather get in the way of your leeboard if you just had one which you tack from side to side. But you might not have to - you might find that she will still sail well on both tacks if you leave the leeboard in one place.