I figured out a way to get past the screen lock "too many attempts" problem without doing a hard reset on my phone.
I called my Phone (from my Skype account

so I could get to the notifications pull down. (couldn't get to home screen or setting from the call) But, I could pull down my notifications. I had a "new email" notification so I clicked on it so that my gmail would open. I then opened an email that had a URL link in it and I clicked on the link. This then opened my browser, which tried to open the link but, it couldn't because, I was still on my
Skype call. This prompted the browser to give me an error message that had a Settings button. I clicked on the settings button and was able to turn on my wi-fi and connect to my home network ( I couldn't get to any other settings). At this point I pulled down my notifications again and clicked on the sign in failure notification and this time my phone was able to authenticate my gmail password, through the wi-fi connection.
FYI, I had to go to gmail and change my password as I'd forgotten it. If you don't remember your password you'll have to go through the gmail,
I forgot my password/reset process.
If you have email notifications turned off, I think you can send a link through with a text message but, I've never done that. Maybe someone else can chime in on how to do that. It's probably pretty simple.
Lemme know if this works for you.