There's a bit of, if you don't ask you don't get to it. But assuming you're already getting market rate asking for a better deal than what you've been offered might just be seen as taking the ****!
A short period of time ago I was offered a pay rise and a bonus for the past years work. I don't want to get in to specifics too much, it is an IT based job and it is my first year with the company the amount I got was around 8% as a pay rise and the bonus around 4%.
I appreciate the extra money *but* I was hoping to get something a bit more substantial. Do I just accept what I got or is there something I should be attempting here?
Any advice, realistic or otherwise is greatly appreciated.

Being the brave, amazing and smart man I am. I would ask.

Id like to certificates to say I am good at what I do though, so I am currently pursuing a RHCSA and potentially a VMware VCP. Neither of which I should struggle with based on the course material I have read so far. CCNA would not be particurly difficult either but my encounter with Cisco kit recently has been minimal due to this being taken up my my colleagues.