Apply suggestions from code review

Co-authored-by: shainaraskas <[email protected]>

Author: georgewallace

deploy-manage/deploy/elastic-cloud/create-serverless-project.md

@@ -15,7 +15,7 @@ Choose the type of project that matches your needs and we’ll help you get star
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-| ![elasticsearch](https://www.elastic.co/docs/assets/images/elasticsearch.png "elasticsearch =50%") | **Elasticsearch**<br> Build custom search applications with Elasticsearch.<br><br>[**View guide →**](../../../solutions/search.md)<br> |
-| ![observability](https://www.elastic.co/docs/assets/images/observability.png "observability =50%") | **Observability**<br> Monitor applications and systems with Elastic Observability.<br><br>[**View guide →**](../../../solutions/observability.md)<br> |
-| ![security](https://www.elastic.co/docs/assets/images/security.png "security =50%") | **Security**<br> Detect, investigate, and respond to threats with Elastic Security.<br><br>[**View guide →**](../../../solutions/security/elastic-security-serverless.md)<br> |
+| ![elasticsearch](https://www.elastic.co/docs/assets/images/elasticsearch.png "elasticsearch =50%") | **Elasticsearch**<br> Build custom search applications with Elasticsearch.<br><br>[**View guide →**](/solutions/search/serverless-elasticsearch-get-started.md)<br> |
+| ![observability](https://www.elastic.co/docs/assets/images/observability.png "observability =50%") | **Observability**<br> Monitor applications and systems with Elastic Observability.<br><br>[**View guide →**](/solutions/observability/get-started/create-an-observability-project.md)<br> |
+| ![security](https://www.elastic.co/docs/assets/images/security.png "security =50%") | **Security**<br> Detect, investigate, and respond to threats with Elastic Security.<br><br>[**View guide →**](/solutions/security/get-started/create-security-project.md)<br> |
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deploy-manage/deploy/elastic-cloud/serverless.md

@@ -15,7 +15,7 @@ mapped_urls:
 
 Serverless projects use the core components of the {{stack}}, such as {{es}} and {{kib}}, and are based on an architecture that decouples compute and storage. Search and indexing operations are separated, which offers high flexibility for scaling your workloads while ensuring a high level of performance.
 
-## Quickstart
+## Get started
 
 Elastic provides three serverless solutions available on {{ecloud}}. Follow these guides to get started with your serverless project:
 
@@ -28,7 +28,7 @@ Afterwards, you can:
 * Learn about the [cloud organization](../../cloud-organization.md) that is the umbrella for all of your Elastic Cloud resources, users, and account settings.
 * Learn about how {{es-serverless}} is [billed](../../cloud-organization/billing/serverless-project-billing-dimensions.md).
 * Learn how to [create an API key](../../api-keys/serverless-project-api-keys.md). This key provides access to the API that enables you to manage your deployments.
-* Learn how manage [users and roles](../../users-roles/cloud-organization.md) is your {{es-serverless}} deployment.
+* Learn how manage [users and roles](../../users-roles/cloud-organization.md) in your {{es-serverless}} deployment.
 * Learn more about {{serverless-full}} in [our blog](https://www.elastic.co/blog/elastic-cloud-serverless).
 
 :::{note}