You can see most of those places.
Hi, and Welcome to the Great American RoadTrip Forum.
The hardest decisions to make is always, what to forego. However, none of us can see it all, and you need to decide between driving to all your chosen destinations to be able to tick them off the list, or going to fewer, and really seeing and enjoying them. Not an easy call.
You don't say when this trip is taking place, and that could have a bearing on some routes and destinations. And even though you have posted in the 'summer' road trips, I am going to assume that this trip is taking place in the next two months.
You will still be able to see most of the places on your list without making the trip too rushed. One option is to head straight for the Grand Canyon, onto Death Valley (though LV), Yosemite (over Tioga Pass), San Francisco and then down the coast along the PCH. This comes in at under 2000 miles, and would allow you to spend some time in the great national parks. Of course, you could head from Yosemite direct to the Carmel on the coast.
Another option is to leave out the Grand Canyon, and head straight for Death Valley, via Pahrump, and then continue as above.
Spend a little time with the trip planning tools and the map center on the green bar above, and see which you prefer. There are Redwoods to be seen just south of SF, and giant Sequoias near the western entrance of Yosemite.
I would definitely do this trip counter clockwise. That way you will be on the ocean side when driving down the PCH. A lot of time can be wasted having to constantly cross over oncoming traffic when pulling into and out of the many view points and overlooks.
Bottom line is, whereas this trip would be very rushed by including all of your must sees, by eliminating only a few, you will get to see most and make it a relaxed and enjoyable trip.
Feel free to come back with more questions, as they arise. There will always be someone here to help.
Lifey