Relationship between unemployment certificate and insurance payment

What I understand now is that before the company gave you insurance in April, you paid the 5-month insurance owed by the individual in the area where your account is located, and the amount was relatively small, so you didn't need an unemployment certificate; If the new company is willing, it can also make it up for you in the name of the company, but the cost is higher and there is a late payment fee. If it is personal payment, please write down the local handling outlets:

(1) Agency outlet in Zhongshan District: Employment and Social Security Service Center in Zhongshan District (office address: No.35 Rongmin Street, Zhongshan District, 3 1 near the terminal of Siergou Road. Tel: 827996 12).

(2) Xigang District Handling Network: Xigang District Employment and Social Security Service Center (office address: No.588 Changjiang Road, Xigang District, near 20 1 Beijing Street Tram Station. Tel: 3966 182 1).

(3) Agency outlets in Shahekou District: the first floor of Shahekou District Public Administration Service Center (office address: No.68 Lianhe Road, Shahekou District, west of Zhongshan Park. Tel: 39788390).

(4) Handling outlets in Ganjingzi District: the second floor of the Labor and Social Security Bureau of Ganjingzi District (office address: Xinghua Street Station, Songjiang Road 19, 19, 6 12, tel: 8658692).

(5) Handling outlet of high-tech zone: the first floor of the administrative service center of high-tech zone (office address: No.53 1 Road1No.28, No.202, near the high-tech zone station, tel: 8482 1906).

If I am right, please tell me, hehe.