Increse working capital of the company

Dear seniors,

Please help me with your expertise:

A Private Limited Company Authorized Capital & Paid Up Capital of which is 5, 00,000. The details of structure are as such:

1.      Authorized Capital: 5,00,000

2.      Paid Up capital :  5,00,000

3.      No. of Members: 4

4.      No. of shares to each member: 12, 500

5.      Status of the members: 2 as Director & 2 as shareholder

The Company is raising funds as in following cases:

1.      An investor will invest 6, 00,000. Company wants him as Director also.

2.      Another investor will invest 10, 00,000. Company need the investment but do not want to be included into board/ shareholding

3.      3^rd investor will invest 25, 00,000. He will be a shareholder.

4.      One of the existing shareholder will invest 10,00,000 but company do not want to increase the no. or % of his share

Now please suggest for the above mentioned cases with reference to the below mentioned scenarios:

1.       Do we need to increase the Authorized/ Paid up Capital for the investor 1?

2.       For the 2^nd investor what are the options available?

3.       What is the process to include the 3^rd investor?

4.       What is the process for the existing shareholder giving more funds?

Regards,