I have multiple problems with page speeds of my sights for example www.advancedassessments.co.uk. Try testing them in google! I am looking for a very experienced user to help tidy them up for a fee or someone who can talk me through the process and point to the relevant training materials.
I was trying it using Google page speed app, I do not know how accurate it is but it did report a large number of problems Here is the link https://developers.google.com/speed/pagespeed/insights/
I do not know how accurate it is it might just be them blowing things out of proportion but the page will need to pass as good to rank high and reduce adwords costs
Just looked at your test results. Some of the items maybe out of your control, as you are using RW a theme based product. Make sure in settings>advanced you have minify CSS and java script checked, and consolidate CSS.
As for compress transfers, that would need to be available from you hosting company. Something like gzip. Leverage browser caching would require changes to your HTTP header to allow browsers to cache your content.
A free account with CloudFlare would take care of these last two: