First off I would beam it all more helpfully, so I can see the crotchet beats more clearly. Then I would put some kind of mark, either a line, or crotchet beats (1,2,3 and 4) above whichever note or rest falls on that beat. Then I would start counting one, two, three, etc, and tap my finger across the page, not especially trying to get the rhythm correct, but just letting the notes flit across my eyes, with the pulses in the correct place. Then I would repeat the last stage, but vocalising any rhythms I can. If anything bothers me, eg rests on pulses, or ties across pulses, I would vocalise for that, and not worry about it. Only once that was in place would I try to *not* vocalise for rests, and try to carry over the tied notes.
The examples above are particularly obtuse, and have no musical meaning (none that I can fathom, apart from being difficult). But sometimes in band we have to read rhythms not far off that, in terms of levels of obtuseness, and they do come together when the whole band gets them right. I try always to carry a pencil so I can correct bad beaming, as in the examples above. You get a lot of bad beaming in brass band music and it drives me nuts.
