As to Russia's support of Hamas, I haven't seen any official statements by the Kremlin so far and I have limited access to Russian media but some sources claim that Russians are ridiculing Israel's defensive efforts and are happy to distract US's attention from Ukraine. Iran-backed Hamas seems to get more support from Russia for political reasons.
Russia does not support Hamas, although it does not classify it as a terrorist organization and considers the leaders of its political wing to be legitimate partners for negotiations (at the same time, the Muslim Brotherhood, from which Hamas spun off in 1987, is considered a terrorist organization in Russia).