Yes. Should be good.

It probably doesn't, but you can use a designated rope marker (Beal makes one). Don't use ordinary Sharpie, it's been shown to weaken the fibers.You can use any water based marker, like the scented kids ones. Then your center mark will smell like black licorice!---------------- I have the blue version of this rope and it does have center markings. Can't go wrong with this rope..

The Mammut Infinity is way more rope than you need as a beginning top-roper. You can get a decent rope for that purpose (10.2mm-11mm, doesn't have to be dry-treated) for <$130. For the occasional ice climb, the same rope with dry-treatment (add~$20) will work for both. But, the right rope for a beginning top-roper isn't the best rope to drag up an alpine route. If I were in your shoes, I would probably buy a new dry rope for top-roping/occasional ice climb, but hold on to the Mammut Infinity just in case you find your climbing interests change.To add to that, I personally don't see the point in getting a rope bigger than 10.5mm these days, just too much rope to drag around for anything! Most 10-10.5mm ropes are way burly enough. Dry treatment not only makes it better for alpine climbing, but it actually adds to durability of rope as well.