To start, set the research funding to No Funding, because you get a lot of rides from the start. You should raise the price of each ride to about how much its excitement rating is (e.g. a roller coaster with a rating of 7.54 should cost $7.50). Consider replacing the Circus with a new one so the guests will pay more for it. To reduce nausea, set the Trebuchet Ride from Berserk mode to Beginner mode.
Make sure to close and/or demolish the Mini Golf course, as it will annoy your guests and waste your cash. If you want to keep it, shorten the queue to two tiles.
Build a roller coaster next, the $10.000 starting cash are not a loan, so don't worry about repaying anything. The excitement of that coaster should at least be 5.50. Follow it up with a Mace Ride and a Fighting Knights Dodgem Cars and you're good to go. This is one of the easiest scenarios in the game, especially since there is no time limit to reach your goal. If you are fast, you can win this scenario in just two months!
Note: Shops do not count towards ride income, so refrain from building too many as your guests will lose money for rides.
Simply increase the price of the Log Train Junior Coaster to $10.00. You will reach the $1,000 ride tickets objective in one month.
Sherwood Forest can easily be beaten in the first few months using only the rides already built at the beginning of the game. Set the junior coaster's price to about $6.50 and the mini golf to $3.70. The Ferris wheel and trebuchet ride can both be increased by about 50 cents. The circus ride can be left alone, as guests already do not ride it unless it is raining. With this set up, guests should still ride every ride in the park (other than the circus, as mentioned before), but the player will make tons more money. The $1,000 objective should be reached in only a month or two, depending on breakdowns and weather, etc.