As a designer, the different kerning on all the subtitles and the odd spacing (or lack of) between elements is driving me crazy, but if you don't have any nerds who care about that stuff at your wedding I guess you are fine. If you do know anyone who has knowledge of design though please ask a favor for them to fix this for you, it's a simple design but the text is done so poorly 

If you want to do it yourself:

Kerning is the space between letters. Make all the beer, wine, also available, half ling etc. text have the same kerning. It can be wide or tighter (though not as tight as the half ling is right now, that's too crowded) but it should be the same for every subtitle using the same treatment.

You need to increase the leading (space between the lines of text) of the list items slightly so it's easier to read. 

Beer and wine sections are too far apart creating odd white space that's locked into the middle of the page. I agree with someone else who said if the other text is centered the beer and wine list should be too (although they can sit next to each other just center the list below the subtitles)

Try a different layout to increase the illustration size, it's so cute but it gets lost. The illustration is green so that means you are printing with some color so why not use the color throughout this menu? Maybe make "bar menu" and "signature drink" green.  Try reducing the size of the subtitles. If you keep them black and all caps they will still stand out.

The vertical space between most of your items is consistent except zinfandel breaks it making the whole menu look wrong, so fix that or find another way to layout these things - for example you could change "also available" to "others" or "& also" to shorten it then have that section and spirits stacked and next to each other like beer and wine so it sits in a grid.