I had the same issues, screen freezing, opening apps by itself, selecting the screens and typing on it's own. I first suspected aliens and then ghosts and then hackers.
iPhone 6 is weak physically and tend to bend on pressure. And my phone had no case or cover.
I took the phone to apple stores and they said sensors need to be replaced and possibly screen replacement as well. My phone is just 17 months old.
Here is what I did two days ago and since then it is working like a charm..
Hold the phone in portrait (as if watching a movie). Twist it very very gently. do it few times.Rest the phone for 10 mins (put it on a flat surface). You can now notice those self typing things gone and screen getting stabilized.
Then, reset the hardware (hold the power and home button till the screen goes off and comes back with apple logo). release the buttons when you see this.
Then, connect to your laptop and log in to iTunes and reset your phone completely. (please take a back-up first).
And your phone should be good to use again.
What really happened here for me is that the sensors might have stuck to the screen and with mild twisting, they got disengaged/released.
I posted this in Apple Community and the moderators deleted it, for the best reasons known to them.
Instead of throwing away your phone (or selling cheaply), try this and you could be saving your phone.
Let me know how it goes.
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Unbelievable, but I unloaded static energy of my body and the iPhone began to function normally :O
crwdns2934271:0crwdnd2934271:0 Jeferson Borges crwdne2934271:0
How did you unload the static energy?
crwdns2934271:0crwdnd2934271:0 iMedic crwdne2934271:0
I noticed that the screen moved only just arrived finger near without touching, so I figured there was something related to static electricity. I work 24 hours in front of a computer, barely have contact with grass garden .. lol
I do not know if there is a relationship between this, but my iPhone looks new
crwdns2934271:0crwdnd2934271:0 Jeferson Borges crwdne2934271:0
My 7plus calls types opens app when it's sitting on a table all by itself. Took it to store and they factory restored. Still doing it, got me lost while on a 7 hour trip using Waze added 3 hours to my drive. I thought I was in a Stephen king book. Help!!!
crwdns2934271:0crwdnd2934271:0 Yolanda diVirgilio crwdne2934271:0
Wow. My iPhone 6S plus did this and now my iPhone 7 plus and could never figure out a solution until reading your comment, Yolanda. Unplugged my phone from the charger while it was doing it (non-apple charger) and it's not doing it anymore! Never would've thought lol thank you!!!
crwdns2934271:0crwdnd2934271:0 nataleehumphrey crwdne2934271:0
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