First of all, I'm poor in electronics and in English, so please don't get annoyed if my request is kind of stupid. I'm from Ukraine, so there are very few options to test something and get support. I need to power my Wi-Fi router and fiber optic modem when utility is down. It is available 4 hours by four down. Wi-Fi and ONU are both DC 12V 1A+0.5A correspondingly. I also have the Li-Pol battery DC 12V 10Ah with some BMS unit. I can buy a 12V relay unit for power transfer as depicted on the picture. I developed it by myself with my poor background, because I didn't find any applicable solution.

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Will this circuit work correct? What option would be better (1) or (2). Maybe you could suggest a better solution. Thank you in advance!

I'm from Ukraine, so there are very few options to test something and get support.

I need to power my Wi-Fi router and fiber optic modem when utility is down. It is available 4 hours by four down. Wi-Fi and ONU are both DC 12V 1A+0.5A correspondingly. I also have the Li-Pol battery DC 12V 10Ah with some BMS unit. I can buy a 12V relay unit for power transfer as depicted on the picture. I developed it by myself with my poor background, because I didn't find any applicable solution.

)

Will this circuit work correct? What option would be better (1) or (2). Maybe you could suggest a better solution.