I'm not sure if this is actually a serious plan, or perhaps just trolling, but I'll assume it's a sincere proposal since attempting this might get you killed.
I'll be direct: your proposed itinerary is unrealistic, ill-advised, and (believe it or not) could result in serious injury, even death. At best, it seems like a waste of time and money that will leave you exhausted rather than blissed-out.
acraven has correctly pointed out that with all your coming and going, you would have very, very little time anywhere. But even that understates the problem: some of your proposed activities require time to get set up, and others require time afterwards before traveling, for safety.
Are you a certified scuba diver? If you are, you should know about the very real danger of getting DCS (decompression sickness, aka "the bends") by flying too soon after diving. If you don't know about this yet, here's the short version: you need to wait a while after diving before you get on any airplane. You also need to wait a while before going up in mountains. Exactly how long you need to wait depends on many variables, but most of us use 24 hours after you exit the water as a rough guideline.
Your trip to Tenerife is too short to accommodate this. Even if you fly to Tenerife and get up the next morning and do your diving right away, you should not drive up into any mountains until you have completed off-gassing (24 hours to be safe). Worse yet, you are talking about first diving, then heading up into the mountains (dangerous), then flying back to Seville (more dangerous), and - wait for it - then going up in a small plane to go skydiving (even more dangerous), all in rapid succession. The risks are cumulative. You are just asking to get "bent" (decompression sickness), a condition that is painful and can even be fatal. You really don't want this on your honeymoon.
Diving in February...Hmmm. Do you do alright in cold water (and cold water dive gear)? You might want to check average water temps for the Canary Islands before you start packing your 9 mm full wetsuit. I'm seeing average February water temps of 17°C / 63°F...that's pretty chilly for my tastes. Maybe the recompression chamber will be nice and warm?
I'm an experienced diver and I did attempt to dive when I was in the Canary Islands years ago, but was never able to. The local dive shops would not accept my basic open water (PADI OW) certification. I had my C-card which I had used to dive in many places, but they told me they required some higher level of certification and an official letter from my doctor certifying my health fitness to dive - that seemed very odd to me (I had never heard of such a requirement). I was told it was a local thing. I gave up and took a windsurfing lesson instead. In fairness, it's been years since I was there and its possible their certification/medical requirements may have changed since then, but you should be ready for surprises like that.
Honestly, I think you plan is seriously misguided. I'd urge you to reconsider. Be careful.