Nothing to something in 3 years strikes me as implausible given Indonesia's current technical disposition.
They quickly developed their own design of rocket, sending a man into space in 2012.
Also don't really buy this as without relevant flight data it'd be... dangerous, to say the least. All the powers that have been able to rapidly transition to manned flight have had long-term rocket programs prior to doing so--the big three (US, USSR, PRC) were able to leverage data from their strategic missile programs into exploratory programs. Indonesia won't have that luxury. Don't see it.
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Receiving a good deal of help from NASA and the United States, they landed a man on the moon in 2021,
Don't see America working that closely to help another power onto the Moon a handful of years after it itself returns as anything but a junior partner under its own program, and then not without heavy monetary or manufacturing contributions. Getting to the Moon remains a huge logistical undertaking--if it takes America 10 years to regear for it from a near-Earth program, it will take Indonesia, starting from nothing, and with significantly fewer resources, industries, and technical skill in the field, quite a bit longer.
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and had sent probes to every planet in the solar system by 2029.
Not possible simply due to transit time mandated by the gravity assists needed to economically reach the outer planets, assuming nothing spiffy like ion engines deployed, along with launch windows, design times...
Really Japan has better odds of doing these things. Indonesia wouldn't realistically have any sort of space presence until it puts its house in order on Earth. If it can do that, it might make a good late entry--it has good positioning for space elevators if it can stabilize its political climate.