New installation, new/faster computer, Linux, Apache if all this is needed.
Getting errors and we will diagnose but first we need to know if php7 will work before we put in the time.
Short answer, yes!
Longer answer, err, yes
Core moodle yes, plugins probably. I have not found a plugin that does not work correctly but when testing code I have written there were things that needed tweaking for PHP7 so you might come across some issues. I would err on the side of waiting a little longer to go live with PHP7 unless it would solve some pressing issue (performance?)
Here is the summary of what can be expected when Moodle is being installed on PHP7:
Thanks, we did see that have have decided to stick with PHP5 instead.
Apparently there is no advantage to using PHP7 and twerking it.
All performance tests show significant improvement on php7 but if you have a very small site you probably won't notice it.