Is my iPhone 5 4g ready

yes

as long as its not broken then yes it is

Hmm, I read it depends on your network.

Are you US or UK?

In the UK apparently only the network EE has the bandwidth to supply 4G to an iPhone 5.

The 5s and 5c can access 4G on the other networks (ie Vodafone and O2).

Source: Well, I was just told by my provider that I cannot have 4G on my iPhone 5 despite them saying yes a couple of days ago and sending me a new sim...

Dhegus