Those are indeed the differences in the new and improved Mark III.
Having a Mark II, I am no doubt biased. I like the idea of a push button, standard kind of magazine release on the Mark III, but that comes at the expense of new magazines. All of the many hundreds of thousands of Mark II magazines that were built and distributed between 1982 and 2003 will not work in the new pistol.
I don't really have a problem with the heel-type latch on my Mark II. For sure, if you wanted to practice in the same fast shoot-and-reload style that many competition shooting games require, the new release is a big, important upgrade, but IMO, I'd rather have the magazine availability.
Internal lock... like most gun guys, I hate the very idea of it. If you don't know why, I won't take the time to explain it. Frankly, I don't blame Ruger. I blame politics in this day and age and places like the State of California for the very existence of these things.
Having shot many different Ruger Mark I's and Mark II's, I think they are durable as hell and given my familiarity with the Mark II, I'd definitely look for one lightly used at a discount before purchasing a new Mark III for more money, but either will give satisfaction.
A new Mark III is a fine purchase, I just want don't you to think that you are missing out if you settle on a nice Mark II.