To follow better the good advices you received here,
forget auto mode, landscape mode, and any other substitute of the brain. This is the kind of scene you cannot automatically take. The reason why you don't use tripod when you need, is because you do not know how long will take - the first picture is at 0.5 seconds, too much even for a trained hand, but is a camera choice, not yours. So, forget also the Kodak camera: no manual mode, which the Fuji has (do not complain for it, is not bad: it has even a night mode with tripod, from the manual, but there is no need for it).
8 seconds max exposure is sufficient, if you follow the Strobist indications linked by someone, and choose the right time of the day: not fully dark, but just after sunset.
Put f/8, ISO 100, and the start around 1 second shutter time, experimenting with shutter only, until the image is good.
On tripod, always.
This is not sufficient to take interesting pictures, but at least they will be technically ok. As many told, even if you think the main subject of your pictures is christmas lights, you have to communicate that they are the subject. And thus you should put them in context in some way, e.g. by making some of them a real subject, or finding a fictitious subject to balance them (look at the fountain in picture #2
here). As is, the perceived subject is
some dark desert place, barely illuminated by coloured lights.
No joy.
It's not like documenting fire damages in an apartment: or, if you think that for you is the same, then there is no need for c&c .