...and I wanted to analyse the chords
I'll offer a big-picture counter-question: why?
This is presumably for your own edification, not out of a desire to add chord symbols that some other instrument can use to accompany the marimba. So this is not notation, but purely analysis. Well, the point of analysis is to discover and explain what the composer did, and in this case you have direct access to the composer! So... ask yourself, what are you trying to accomplish by this passage?
An important dictum for any analysis is to go from the big picture down to the small details, not the other way around. Schenkerian analysis looks at an entire sonata-form movement and says "I, V, I." Start at that largest scope; what is the harmonic "plot" of this entire piece? From there, zoom in on passages of a few phrases at a time, and then by the time you get to individual measures or even beats, you can be informed by the end goal. Adding just a few notes to your image, to get the first three bars:
This starts by strongly cementing Am with the three repeated chords, and ends the phrase on an Am triadic chord as well. I would say the "story" of these first three bars is simply one of Am. I don't see a cadence as such; it just elaborates and extends the tonic. One could imagine an A pedal point beneath it all. (By the way, looking outward to the first 7 bars, we do see a nice V followed by a I, so the story even of that 7-bar phrase is about further establishing the tonality.)
Sometimes it can be counterproductive to harmonic analysis at too granular a level of detail. Not every stack of notes is a chord. My analysis of these measures is just a big fat "I" followed by a long extending line. I might then venture into a more Schenkerian-style analysis that traces horizontal linear relationships. For instance:
It's easy to spot a descending harmonic minor scale in some of the top notes. (With a little imagination, one could even find the missing "^2, ^1" in the second and third beats of the next measure.) And another line, in blue, descends along with this one. (I didn't bother analyzing it as a "line," but the lowest notes in that measure could be described simply as being an E with a little upper-neighbor ornament.)
In this kind of analysis I've left some notes unaccounted for. But it shifts the interrogation. Instead of a note having to justify its existence as a chord member, we look for notes that are explained by their horizontal linear relationships. Those left unexplained, unconnected to a line, are just "along for the ride."
Note, I've studiously avoided using the word "melodic" and instead used "linear." These are hardly "melodies" in the sense of themes. But when we've zoomed in so close that we're performing note-by-note analysis, often it's more rewarding to look for linear relationships than chordal ones (especially when all the chords are adding up to "go nowhere").