Answer:
The journal entries are as follows:
(i) On June 1,
Cash A/c Dr. $5,890
  To Owner's capital $5,890
(To record the issue of common stock)
(ii) On June 2,
Equipment A/c Dr. $1,240
    To Accounts payable  $1,240
(To record the purchase of equipment on account)
(iii) On June 3,
Rent Expense A/c Dr. $670
     To cash            $670
(To record the payment of rent)
(iv) On June 12,
Account receivable A/c Dr. $880
     To service revenue       $880
(To record the service provided on account)