The mentioned issues don't exist. Please refer to the ParamQuery demos:
http://paramquery.com/pro/demos.
Kindly ensure that you have included the ParamQuery dependencies correctly. If you use PQ version 2.1.0 then all PQ js and css files should be for version 2.1.0
If you still face problems and seek help on your issues, please mention/provide
a) a complete reproducible test case for each mentioned issue.
b) The version of ParamQuery.
c) The included versions of jQuery/ jQueryUI