Please do NOT discuss other hosts here. Such posts will be immediately removed, and members writing them may be subject to banning as spammers.
I don't know what issues you've been having with LP, but it's not uncommon to face actions when your CPU usage rises too high. It is generally agreed that "unlimited" hosting that is still subject to limits on CPU usage is misleading at best, if no mention is made of CPU limits, but that seems to be industry standard practice. Perhaps laws are needed to mandate that what limits do exist be clearly stated in advertising and promotional literature. Of course, there must be limits: what if Amazon tried running its site on a shared server? (Never mind that performance would be miserable!)
At times, LP has had tech support which is overzealous in recommending a more expensive hosting plan, and has not done enough to help customers determine exactly what is causing high CPU usage. If you simply have a very popular site, that has a lot of database use (e.g., Wordpress), you may actually have grown beyond the capacity of a shared server, and really need to move up to something more capable. You mentioned deleted files -- that's not normally done, unless the techs feel that it was something planted by a hacker, and poses a real risk to the server's stability and the usability by other customers on that server. Anyway, it is incumbent upon you to thoroughly examine your site (bring in professional help, if necessary) to determine the cause of high CPU usage. In my case, it was Chinese government hacker squads heavily hitting my forum (probably looking to spread misinformation ahead of our elections). I had to ban a large range of IP addresses to bring the problem under control -- you may be able to do the same thing. Also make sure all your software is up to date, including any plug-ins or other optional code.
As for threats of legal action, and social media campaigns against LP, I don't know how much leverage you'll have, being in another country. I hope you can resolve the issue and get stabilized, but if you can't, you may just have to move.