The Firstbyte time
Ideally should be around .30 – .50 sec. Check on unused plugins and remove them and check which plugins are executing slowly on both sites using the F-12 Profiler plugin.
Check the sizes on your combined CSS file, maybe removing unnecessary plugins will get that size down.
Total website size ideally like to see under 1mb or 1.5 MB and at worse 2mb in size if absolutely necessary.
Load times Ideally would prefer to see 1-2 secs max or even less if possible.
Maybe your first byte slow time is not plugins but the actual server often times shared hosting is just to slow and will have some times being fast and others to slow so check at different times to find out.
you need to compress objects (js,css, html, images etc) and some objects may not be browser caching while some are. We want browser caching on all of them if possible.
There is a lot of work to do on the sites and not just the home page but all pages will likely need image optimization on the entire media library.