A family of Microsoft relational database management systems designed for ease of use.
The issue isn't your IT, it's runtime. Runtime is a striped down version of access made to run an existing database, but not to do development work. For all development you need the full version of access.
In your scenario, you mention 2010 and 365. This you must do all your development in the oldest version, so 2010, to ensure it runs for all your users. So you need to do all your work on PC1
In such a scenario, you want to place the back end in a shared folder, accessible by all your users/PCs, and then distribute a personal copy of the front end to each user (never share a copy of the front end otherwise you'll be in front problems).
As a side note, office 365 had been horribly unstable do to bugs in almost every single update. If highly recommend you disable updates and manually update things in a knowledgeable and controlled manner.