Does 好 mean "it's better to" or "in order to" in complex sentences? E.g. 今天天气不好，咱们好留在家
There are some errors about your sentences: 

1)今天天气不好，咱们好留在家 could be: 今天天气不好，咱们最好留在家. 

2)你要支持治病，好早一点恢复健康 could be: 你要配合治疗，好早一点恢复健康。 支持治病 sounds odd.