Hdmi to RCA

HDMI would be the only supported connection so there would be no guarantee with any converter. As stated above, even if it were to work you would not be able to play any protected material (i.e. any content from streaming services) as well as the fact that you would run into issues with display and functionality could cease at any time. Ultimately you would be better off seeing if the TV could be fixed or replacing before trying to use any connected device.

maybe and then not really

RCA is a connector type used for composite 3 connectors (too low res from vhs days) and component 5 connectors it support 1080i Component video - Wikipedia

but not hdcp High-bandwidth Digital Content Protection - Wikipedia

so with a hdmi to component converter all the DRM protected material would not play, which is include all streaming services