Are These Okay? 今天我去了Starbucks三回。。。

Okay, I am having a hard time figuring out what the word order of these should be, etc. Any help is greatly appreciated. :)

1. 今天我去了Starbucks三回买一杯冰绿茶。
Today, I went to Starbucks three times and bought an iced green tea.

* So each time I went there I got an iced green tea. :)

今天我去了Starbucks三回/次, 每次买一杯冰绿茶.

Your Chinese sentence sounds like you failed to buy an iced green tea the first two times you went there, possibly because it had been sold out and the shop owner told you to "come and try again in a few hours".

2. 我下班后在健身房锻炼。
I worked out at the gym after work.

perfect!

The basic structure of chinese sentence:

汉语句子的基本结构：

主语 + 谓语 + 宾语

猫(主) + 在吃(谓) + 苹果(宾)。
The cat(主) eat(谓) apples(宾).

除此之外，有状语和定语，他们都起修饰和限定作用。

窗户上的(定) + 猫(主) + 在吃(谓) + 苹果(宾)。
The cat(主) on the window(定语 the position, where) eat(谓) apples(宾).

窗户上的(定) + 猫(主) + 急急忙忙(状) + 在吃(谓) + 苹果(宾)。
The cat(主) on the window(定语 describe where) eat(谓) apples(宾) in a rush(状).

以上是完整的句子的例子。

回到你的例子。

1. 今天我去了Starbucks三回买一杯冰绿茶。
Today, I went to Starbucks three times and bought an iced green tea.

* So each time I went there I got an iced green tea. :)

Not natural for this sentence.

You'd better to split it into two independent sentences as a Chinese beginner.

今天(状) + 我(主) + 去了(谓) + Starbucks(宾) + 三回(状).  每次(状) + 买(谓) + 一杯(定) + 冰绿茶(宾).

In the second sentence, you can ignore 主语 because all know the 主语 is you in the context.

2. 我下班后在健身房锻炼。
I worked out at the gym after work.

correct!

我(主) + 下班后(状) + 在健身房(状) + 锻炼(谓)。

下班后:时间状语 describe when
在健身房: 地点状语 describe where

1. 今天我去了Starbucks三回买一杯冰绿茶。 （今天我去了三回Starbucks, 买了一杯冰绿茶回来。 but i think it would be better if you add "只“ before “买” to emphasize that you went there three times, but just bought one. ）
Today, I went to Starbucks three times and bought an iced green tea.

* So each time I went there I got an iced green tea. :)

2. 我下班后在健身房锻炼。 （下班后我在健身房锻炼。）
I worked out at the gym after work.

first time to modify. 见谅~ ：）

Are These Okay? 今天我去了Starbucks三回。。。

Okay, I am having a hard time figuring out what the word order of these should be, etc. Any help is greatly appreciated. :)

1. 今天我去了Starbucks三回买一杯冰绿茶。
Today, I went to Starbucks three times and bought an iced green tea.

* So each time I went there I got an iced green tea. :)

From your intent, 今天我去了星巴克三次, 每次都買了一杯冰绿茶. You can also use 趟. 回 sounds more literary to me.

2. 我下班后, 我在健身房锻炼。
I worked out at the gym after work.