i've been looking at your posts and can't find easy answers;
i've always learned (and used in all the rolling distros i been using) that full-upgrade (or similar) is the only way to go; if the update looks fishy or is broken, wait and update other day;
removals and additions are part of testing, you have to accept this (of course with the exception when those removals will broke clearly your system);
because of the above, hold a full-update for a long periods of time because some pkgs are to be removed, will only make things worst, problems will cumulate and some of the breakages easily solved in an early stage would be impossible later;
in testing the definition of long periods of time is very short (testing moves so fast that one week sometimes is to much);
now, your situation: you have these unmet deps
The following packages have unmet dependencies:
python-beagle: Depends: python (< 2.7) but 2.7.2-8 is to be installed.
python-aptdaemon: Depends: python (< 2.7) but 2.7.2-8 is to be installed.
xserver-xorg-core: Depends: libpixman-1-0 (>= 0.21.6) but 0.20.2-0ubuntu1 is installed.
libpulse-browse0: Depends: libpulse0 (= 0.9.23-1) but 1.0-4 is to be installed.
mint-meta-codecs: Conflicts: gstreamer0.10-plugins-really-bad but 0.10.22-0.2 is installed.
try the following (but use it at your own risk, and in doubt copy-paste the output here)
- disable for moments the mint repo, do a update and full-upgrade
- have to warn you that with this move you will loose the patched libcairo2 (responsible for the fonts, after that they may not look so great - i personally see no big difference)