Want to ask if this inverter and battery are good quality?

Do they work well together or can one expect it to give problems?

 

Any advice appreciated. 

they are both good quality and work well together. just to note that the Dyness is a 0.5C battery so you'd get half output power. If this is a deal breaker you could also look at 1C batteries such as the newer AM-5 Hubbles or Greenrich

For an explanation on C rating see this post

Thank you for the feedback.