I couldn't take several days off in a row but I did get some days off.
I didn't get several days off consecutively but at least I got some time off work.
1) I couldn't take several days off in a row but I did get some days off.
「連休は取れなかったけど、休みはもらえました。」
take several days offで「数日休みをとる」
in a row で「連続的に・続けて」
「続けて休みは取れなかったけど、何日か休みは取れた」という意味になります。
2) I didn't get several days off consecutively but at least I got some time off work.
「連休は取れないけど、少なくとも仕事の休みは数日取れた。」
consecutively で「連続的に」
at least は「少なくとも・せめて」
「連続的に休みは取れないけど、少しでも仕事が休めたのは救いだ」というニュアンスです。
ご参考になれば幸いです!